GCD of 682, 149, 74, 629 Calculator

Given Input numbers are 682, 149, 74, 629

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 682, 149, 74, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 149, 74, 629 is 1.

Therefore, GCD of numbers 682, 149, 74, 629 is 1

Given Input Data is 682, 149, 74, 629

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 149 is 149

Prime Factorization of 74 is 2 x 37

Prime Factorization of 629 is 17 x 37

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(682, 149) = 101618

GCD(682, 149) = ( 682 x 149 ) / 101618

GCD(682, 149) = 101618 / 101618

GCD(682, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 682, 149, 74, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 590, 81, 767
• GCD of 656, 774, 91, 721
• GCD of 147, 835, 18, 116
• GCD of 996, 600, 41, 698
• GCD of 250, 639, 86, 624

1. What is the GCD of 682, 149, 74, 629?

GCD of 682, 149, 74, 629 is 1

2. Where do I get the detailed procedure to find GCD of 682, 149, 74, 629?

You can find a detailed procedure to find GCD of 682, 149, 74, 629 on our page.

3. How to find GCD of 682, 149, 74, 629 on a calculator?

You can find the GCD of 682, 149, 74, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.